The spatial dynamics and phase transitions in non-identical
swarmalators
Ansarinasab, Sheida ...
Swarmalators, which combine the swarming phenomenon with synchronization, have drawn a lot of attention from researchers in recent years. Nevertheless, the majority of earlier research contends with ...identical swarmalators, thus neglecting dynamics that might emerge with parameter heterogeneity. In this paper, we therefore study the internal dynamics of non-identical swarmalators with natural frequencies sampled from six distributions: uniform, Gaussian, Lorentz, and its three generalizations. We show how these different distributions relate to the spatial dynamics and how they affect the phase transitions between different dynamical states. We find that, in comparison to the other five distributions, the phase transition curve for the uniform frequency distribution exhibits a more explosive character. Moreover, by changing the phase coupling strength, we find three distinct spatial patterns: drifting periodic, irregular, and static. With these results, we improve our understanding of the complex interplay between synchronization and swarming in non-identical swarmalators, and we also hope to inspire further research along the same lines.
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